Pith Number

pith:VKOTMGID

pith:2013:VKOTMGIDO4BL2EOMMIGDH57H6Z

not attested not anchored not stored refs pending

Bi-Factor Approximation Algorithms for Hard Capacitated $k$-Median Problems

Bartosz Rybicki, Jaros{\l}aw Byrka, Joachim Spoerhase, Krzysztof Fleszar

arxiv:1312.6550 v3 · 2013-12-23 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKOTMGIDO4BL2EOMMIGDH57H6Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:45:59.125643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9d3619037702bd11cc620c33f7e7f648ac0c82f8a88956f5b42c307b1f0bd2

Aliases

arxiv: 1312.6550 · arxiv_version: 1312.6550v3 · doi: 10.48550/arxiv.1312.6550 · pith_short_12: VKOTMGIDO4BL · pith_short_16: VKOTMGIDO4BL2EOM · pith_short_8: VKOTMGID

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VKOTMGIDO4BL2EOMMIGDH57H6Z \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: aa9d3619037702bd11cc620c33f7e7f648ac0c82f8a88956f5b42c307b1f0bd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3eaf1669545118439c3b79612e1c5e0715f878177374dd7e80fb9059fe65574",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-12-23T14:03:29Z",
    "title_canon_sha256": "373a730d438fbaa388d54f0b1ad3e303b19ee6c6c5078a4af388bb6020941554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6550",
    "kind": "arxiv",
    "version": 3
  }
}